Determine whether the sequence is arithmetic, geometric, both, neither. 16,8,4,2,... is what
an arythmetic sequence involves addition and subtraction exg
2,4,6,8,10 ( +2)
10,8,6,4,2 (-2)
a geometric sequence involves multiplication or division exg
2,4,8,16 ( times 2)
16,8,4,2 (divide 2)
it is a geometric sequence because it involves multiplication
Answer: It is a geometric series.
Step-by-step explanation:
Since we have given that
\(16,8,4,2,...\)
Here,
a = first term = 16
r = common ratio is given by
\(\frac{a_2}{a_1}=\frac{8}{16}=\frac{1}{2}=\frac{4}{8}\)
So, it becomes geometric progression, as it has common ratio rather than common difference.
Hence, it is a geometric series.